| 摘要: | 
			 
		     | 利用简单的组合逻辑电路分别在Ⅰ型和Ⅱ型最优正规基上设计出了新的并行乘法器,其中Ⅰ型最优正规基并行乘法器所需异或门数为3n-4,与门数为n,Ⅱ型最优正规基并行乘法器所需异或门数为2n-2,与门数为n;与Sunar和Koc于2001年在Ⅱ型最优正规基上提出的并行正规基乘法器对照,此乘法器大大减少了所需要的门数,从而有效地降低了硬件消耗的资源. | 
			
	         
				| 关键词:  有限域  最优正规基  乘法器  门数 | 
			 
                | DOI: | 
            
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                | Parallel Multiplier Design based on optimal Normal Basis | 
           
			
                | SU Dan dan1,FU Ping2 | 
           
		   
             
                | Abstract: | 
			
                | A new parallel multiplier is designed by simple combinational logic circuits based on type I optimal normal basis and type Ⅱ optimal normal basis respectively.For the type I optimal normal basis,the parallel multiplier needs 3n 4 XOR gates and n AND gates,for the type Ⅱ optimal normal basis,the parallel multiplier needs 2n 2 XOR gates and n AND gates.Compared with the normal basis parallel multiplier based on type Ⅱ optimal normal basis proposed by Sunar and Koc in 2001,this multiplier greatly reduces required gates so as to effectively decrease the resources of consumption. | 
	       
                | Key words:  finite fields  optimal normal basis  multipliers  gates |